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Finding the Third Proportional to 103.50 and 221.63

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Solution

The third proportional to 103.50 and 221.63 is: 474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.50 : 221.63 = 221.63 : x
  2. Step 2: Convert to fraction form
    103.50/221.63 = 221.63/x
  3. Step 3: Cross multiply
    103.50x = 221.63 × 221.63
  4. Step 4: Simplify right side
    103.50x = 49,117.64
  5. Step 5: Solve for x
    x = 49,117.64/103.50
  6. Step 6: Final answer
    x = 474.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.